What is the answer to |x|-1=2x+2 ?

The answer to |x|-1=2x+2 is x=-1

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|x|-1=2x+2

∣ x ∣ - 1 = 2 x + 2

x = - 1

Solution steps

∣ x ∣ - 1 = 2 x + 2

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 1 or No Solution

x = - 1

0 \leq - 2 x^{2} + 8 x + 8 \leq 10

(3 - 2 i) (4 + i)

(x - 4) (x + 2) = 16

(x + 1)^{2} (x - 3) (x - 8) < 0

9 x^{2} - 7 = 0